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Finding the Third Proportional to 788,625 and 1,710,112.50

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Solution

The third proportional to 788,625 and 1,710,112.50 is: 3,708,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,625 : 1,710,112.50 = 1,710,112.50 : x
  2. Step 2: Convert to fraction form
    788,625/1,710,112.50 = 1,710,112.50/x
  3. Step 3: Cross multiply
    788,625x = 1,710,112.50 × 1,710,112.50
  4. Step 4: Simplify right side
    788,625x = 2,924,484,762,656.25
  5. Step 5: Solve for x
    x = 2,924,484,762,656.25/788,625
  6. Step 6: Final answer
    x = 3,708,333.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.